Simplify the equation below

A club has 4 members. from these members, the positions of president and vice president have to be filled. in how many different

ExtremeBDS [4]

4 members x 2 positions = 8 different ways

7 0

4 years ago

A woman bought 130kg of tomatoes for gh¢52.00. she sold half of them at a profit of 30%. the rest of the tomatoes bagan to go ba

ozzi

Answer:

(a) 0.52

(b) 5.62%

Step-by-step explanation:

The cost price of the tomatoes is 52.

Now we need to know the price per KGB of the tomatoes and this equal the cost price divided by the total weight.

I.e 52/130 = 0.4 per KG

We also know that she sold half at 30% profit.

(a) New selling price per kg.

To get that, we find 30% of 0.4 which equals 0.12.

We then add this to 0.4 = 0.4 + 0.12 = 0.52

(b) percentage profit on whole transaction. We know that she threw away 5kg from the other half after selling 65kg.

Now amount of kg left after throwing away 5kg from the other half is 60kg.

She sold this 60kg at 12% loss.

We find 12% of 0.4 = 0.048

We subtract this from 0.4 = 0.4 - 0.048 = 0.352.

Now total sales now equal the following: 0.52(65) + 0.352(60)

= 33.8 + 21.12 = 54.92

% profit = (selling price- cost price)/cost price × 100%

(54.92 - 52)/52 × 100%

2.92/52 × 100% = 5.62%

3 0

3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

Simplify this expression: 4(x+3)+3(5-x)

prisoha [69]

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

8 0

3 years ago

Read 2 more answers

Monica has a triangular piece of fabric. The height of the triangle is 27 inches and the triangle's base is 18 inches. Monica sa

Fed [463]

Monica forgot to multiply by 1/2
The area of the fabric is 243 in.2

Explanation:
The formula for the area of a triangle is:
1/2 • base • height

Monica’s error is that she only multuplied the base and height, without multiplying 1/2 also.

The area of the fabric is 243 in.2 because:
1/2 • 18 • 27 = 243

Or you could just divide the wrong area Monica solved (486 in2) by 2. You will also get 243 in.2

Have a nice day! And mark me brainliest please!

5 0

3 years ago